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Finding the Fourth Proportional to 440.61, 661.02 and 166.77

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Solution

The fourth proportional to 440.61, 661.02 and 166.77 is: 250.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.61 : 661.02 = 166.77 : x
  2. Step 2: Convert to fraction form
    440.61/661.02 = 166.77/x
  3. Step 3: Cross multiply
    440.61x = 661.02 × 166.77
  4. Step 4: Simplify right side
    440.61x = 110,238.31
  5. Step 5: Solve for x
    x = 110,238.31/440.61
  6. Step 6: Final answer
    x = 250.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.